Question

a closed metallic cylinder has its base diameter 56 cm and it is 2.25 M high and find the cost of metal used to make it if it costs $80 per square metre

Answer 1

Radius=Diameter/2=56/2cm=28cm
Height=2.25m
We have to convert radius in m
Therefore, 28/100m=0.28m
T.S.A=2πr (r+h)=2*22/7*0.28*(0.28+2.25)=1.76*2.53m^2=4.4528m^2
Cost of metal=$(4.4528*80)=$356.22

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Answer 2

Given - Diameter and height

Find - Cost of metal used to make cylinder

Solution - The cost of metal used to make a cylinder is $ 356

Firstly finding the total surface area of the cylinder.

The total surface area of the cylinder is given by the formula - 2πr ( h+r).

The radius of the cylinder = 56/2

The radius of the cylinder = 28 centimetres or 0.28 metres

Total surface area = 2π*0.28(2.25 + 0.28)

Total surface area = 4.45 square metres

1 square meter costs $80

4.45 square metres will cost = $ 356

So, the cost of making a cylinder of given dimensions is $ 356